Details

Time bar (total: 4.0s)

sample17.0ms

Algorithm
intervals
Results
3.0ms268×body80nan
3.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
4.0ms
(sqrt (+ x y))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(sqrt (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
4.0ms
(sqrt (+ x y))
5.0ms
(sqrt (sqrt (+ x y)))
5.0ms
(sqrt (sqrt (+ x y)))
29.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (+ x y))
195.0ms
(sqrt (sqrt (+ x y)))
195.0ms
(sqrt (sqrt (+ x y)))
39.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0345868
11409786
25001772

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
21.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series542.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
126.0ms
(cbrt (+ x y))
125.0ms
(cbrt (+ x y))
130.0ms
(cbrt (+ x y))

simplify147.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune544.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt (+ x y))))
0.1b
(sqrt (sqrt (sqrt (+ x y))))
0.5b
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))))
0.5b
(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
245×sqrt-prod
228×sqrt-pow1
192×sqrt-div
100×pow1
97×add-sqr-sqrt
78×pow1/2
63×pow-prod-up
49×*-un-lft-identity
35×flip3-+ flip-+
32×frac-times
30×swap-sqr
29×add-cube-cbrt
23×associate-*l*
19×unswap-sqr
18×pow-prod-down
17×pow-sqr
16×associate-*r/
14×associate-*r*
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×distribute-lft-out
6×rem-sqrt-square
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 274
Calls
4 calls:
6.0ms
(sqrt (sqrt (sqrt (+ x y))))
6.0ms
(sqrt (sqrt (sqrt (+ x y))))
78.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))))
41.0ms
(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(sqrt (sqrt (sqrt (+ x y))))
120.0ms
(sqrt (sqrt (sqrt (+ x y))))
33.0ms
(* (sqrt (sqrt (+ x y))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))))
188.0ms
(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07282035
127851827
250011801

prune438.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample447.0ms

Algorithm
intervals
Results
111.0ms8000×body80valid
102.0ms7942×body80nan